Differential-Algebraic Equations: A Projector Based Analysis

• Main Authors: Lamour, Ren.̌ (Author), Mr̃z, Roswitha. (Author), Tischendorf, Caren. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Series: Differential-Algebraic Equations Forum
• Subjects: Mathematics.; Differential Equations.; Computer science > Mathematics.; Ordinary Differential Equations.; Applications of Mathematics.; Computational Mathematics and Numerical Analysis.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-27555-5

Differential algebraic equations (DAEs), including so-called descriptor systems, began to attract significant research interest in applied and numerical mathematics in the early 1980s, no more than about three decades ago. In this relatively short time, DAEs have become a widely acknowledged tool to...

Table of Contents:

• Notations
• Introduction
• Part I. Projector based approach
• 1 Linear constant coefficient DAEs.-.2 Linear DAEs with variable coefficients
• 3 Nonlinear DAEs
• Part II. Index-1 DAEs: Analysis and numerical treatment
• 4 Analysis
• 5 Numerical integration
• 6 Stability issues
• Part III. Computational aspects
• 7 Computational linear algebra aspects
• 8 Aspects of the numerical treatment of higher index DAEs
• Part IV. Advanced topics
• 9 Quasi-regular DAEs
• 10 Nonregular DAEs
• 11 Minimization with constraints described by DAEs
• 12 Abstract differential algebraic equations
• A. Linear Algebra <U+0013> Basics.-.B. Technical Computations
• C Analysis
• References
• Index.